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Finding the Fourth Proportional to 299,698.26, 413,567.01 and 172,375.98

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Solution

The fourth proportional to 299,698.26, 413,567.01 and 172,375.98 is: 237,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,698.26 : 413,567.01 = 172,375.98 : x
  2. Step 2: Convert to fraction form
    299,698.26/413,567.01 = 172,375.98/x
  3. Step 3: Cross multiply
    299,698.26x = 413,567.01 × 172,375.98
  4. Step 4: Simplify right side
    299,698.26x = 71,289,018,644.42
  5. Step 5: Solve for x
    x = 71,289,018,644.42/299,698.26
  6. Step 6: Final answer
    x = 237,869.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.